Note that to obtain the dispersion relation for the original phase \(\phi \) , rather than for
\(v = \phi _{x}\) , the mean term \(2\bar{\rho }/q\)  needs to be added to the \(v\)  dispersion relation (REF )
(and (REF )) on integration to account for the solution of the nematic equations with \(a=0\) , that is
the constant level solution [1]}, [2]}.
